Convergence rate estimates in some limit theorems for geometric random sums (Q2563475)

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Convergence rate estimates in some limit theorems for geometric random sums
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    Convergence rate estimates in some limit theorems for geometric random sums (English)
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    12 December 1996
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    The author presents a) a nonuniform bound of the closeness between the geometric and the exponential distributions, b) a nonuniform bound of the convergence rate of the distribution of a normalized geometric random sum to the Laplace distribution, and c) some bounds for the closeness between the distribution of a centralized geometric sum and the Laplace distribution.
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    geometric distribution
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    Laplace distribution
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    random sum
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    convergence rate
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    exponential distribution
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